260419461120 has 1008 divisors, whose sum is σ = 1131915231720. Its totient is φ = 54896099328.

The previous prime is 260419461097. The next prime is 260419461121. The reversal of 260419461120 is 21164914062.

260419461120 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 19 + 4 + 611 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78902562816 + 181516898304 = 280896^2 + 426048^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (260419461121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 234823126 + ... + 234824234.

Almost surely, 2^260419461120 is an apocalyptic number.

260419461120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260419461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565957615860).

260419461120 is an abundant number, since it is smaller than the sum of its proper divisors (871495770600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

260419461120 is a wasteful number, since it uses less digits than its factorization.

260419461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 260419461120 in words is "two hundred sixty billion, four hundred nineteen million, four hundred sixty-one thousand, one hundred twenty".